Abstract:
This study implemented and validated a space-domain inversion methodology for
estimating the distribution of apparent magnetic susceptibility in oceanic
crust, specifically designed for interpreting magnetic data in low-latitude
regions where conventional Fourier-domain techniques, such as reduction to the
pole, suffer from numerical instabilities. The interpretive model consists of a
layer of horizontally juxtaposed rectangular prisms with purely induced
magnetization and isotropic susceptibility. The inverse problem formulation
combines first-order Tikhonov reg- ularization with a positivity constraint,
with the purpose of imposing physically plausible bounds on the estimated
solutions.The methodology was tested on eight synthetic scenarios organized
into three progressive groups that assessed: (i) the stabilizing role of the
positivity constraint; (ii) the effect of irregular observation distributions
on inversion quality; (iii) the influence of secular variations in the main
geomagnetic field (IGRF) when combining surveys from different epochs; and
(iv) performance under models with realistic geometry and variable crustal
thickness. The tests demonstrated that positivity enforcement is the primary
stabilizing mechanism of the inversion, producing geologically more coherent
solutions at the cost of a slightly higher data misfit.For the real-data
application, the methodology was applied to the São Paulo Transform Fault
System (SPTFS) using magnetic data from the NCEI surveys (1966 to 1983) and the
COLMEIA expedition (2013). Joint inversion of both datasets revealed
limitations arising from the spatial heterogeneity of the NCEI surveys, with a
residual standard deviation of 2.51 nT. Restricting the inversion to COLMEIA
data alone reduced the standard deviation to 0.02 nT. The COLMEIA-only
inversion identified zones of elevated magnetic susceptibility within the
intra-transform segments, interpreted as possible occurrences of basalt,
gabbro, mylonite, and peridotite, showing good correlation with dredge samples
and lithological interpretations from previous studies.The results contribute
to the understanding of crustal and upper mantle structure in the equatorial
Atlantic, with particular emphasis on the geophysical characterization of
serpentinization zones associated with transform faults and distinct mantle
exhumation mechanisms (transpression and detachment faulting).